The sum 1 + (1³ + 2³)/(1 + 2) + (1³ + 2³ + 3³)/(1 + 2 + 3) +...... + (1³ + 2³ + 3³ +... + 15³)/(1 + 2 + 3 +... + 15) - 1/2(1 + 2 + 3 +... + 15) is equal to:

Sequence and Series: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Apr, Evening shift · Q5302

JEE Main 201910 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

The sum

1 + {{{1^3} + {2^3}} \over {1 + 2}} + {{{1^3} + {2^3} + {3^3}} \over {1 + 2 + 3}} + ...... + {{{1^3} + {2^3} + {3^3} + ... + {{15}^3}} \over {1 + 2 + 3 + ... + 15}}

- {1 \over 2}\left( {1 + 2 + 3 + ... + 15} \right)

is equal to :

JEE Main 2019 · 10 Apr, Evening shift · Q5302

JEE Main 201910 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

The sum

1 + {{{1^3} + {2^3}} \over {1 + 2}} + {{{1^3} + {2^3} + {3^3}} \over {1 + 2 + 3}} + ...... + {{{1^3} + {2^3} + {3^3} + ... + {{15}^3}} \over {1 + 2 + 3 + ... + 15}}

- {1 \over 2}\left( {1 + 2 + 3 + ... + 15} \right)

is equal to :